Question

Two holes of unequal diameters d${}_1$ and d${}_2$ (d${}_1$ > d${}_2$) are cut in a metal sheet. If the sheet is heated, then

• A. Both d${}_1$ and d${}_2$ will decrease
• B. Both d${}_1$ and d${}_2$ will increase
• C. d${}_1$ will increase and d${}_2$ will decrease
• D. d${}_1$ will decrease and d${}_2$ will increase

Answer 1

Answer: (B)

Both d${}_1$ and d${}_2$ will increase

Given : Two holes of unequal diameters d11 and d22 (d11 > d22) are cut in a metal sheet. If the sheet is heated, then

Solution :

We have a relation of expansion of area due to change in temperature as $\Delta A=A\alpha \Delta T$

since here temperature is increased so $\Delta A$ will also increase hence both $d_1$ and $d_2$ will also increase.

The Correct Opt=B